A pyramid with a triangle as base is considered as a tetrahedron. It is a three dimensional polyhedron with 4 equilateral triangles as its sides. If one would look at the word tetrahedron, it literally means "with four planes".
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A tetrahedron.
Tetrahedron
A three-dimensional figure or shape, such as a tetrahedron, has four faces. These faces are equilateral triangles. A tetrahedron also has four vertices and 6 edges.
A tetrahedron.
A triangular based based pyramid is a TETRAHEDRON. It becomes a regular tetrahedron if the four triangles, that make up its shape, are REGULAR, that is they are all the same size by area and shape; that is they are congruent. The word 'polyhedron' means a solid shape of any number of sides.